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A primal-dual potential reduction method for problems involving matrix inequalities
Interior point algorithms Linear matrix inequaliües Semidefinite programming
2015/8/11
We describe a potential reduction method for convex optimization problems involving matrix inequalities. The method is based on the theory developed by Nesterov and Nemirovsky and generalizes Gonzaga ...
Sub-Supersolution Method for a Class of Higher Order Evolution Hemivariational
Evolution hemivariational inequality sub-solution super-solution extremal solution sub-supersolution method
2011/11/17
In this paper, we extend extremality results for the variational inequality to a higher order evolution hemivariational inequality. More precisely, we give an existence theorem of solution for the hig...
Convergence of the Gauss-Newton method for convex composite optimization under a majorant condition
the Gauss-Newton method convex composite optimization Optimization and Control
2011/9/15
Abstract: Under the hypothesis that an initial point is a quasi-regular point, we use a majorant condition to present a new semi-local convergence analysis of an extension of the Gauss-Newton method f...
A global Monte-Carlo method for fitting parameters of differential equation models
global Monte-Carlo method fitting parameters Quantitative Methods
2011/10/8
Abstract: Finding the parameter values of differential equation models from data is an important part of the modelling process. Large models and sparse data often make the parameters very difficult to...
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation
2011/3/2
We provide a new natural interpretation of the Lax representation for an integrable system; that is, the spectral problem is the linearized form of a Miura transformation between the original system a...
Design of Easily Synchronizable Oscillator Networks Using the Monte Carlo Optimization Method
Synchronization Kuramoto model Networks Metropolis Optimization
2010/4/21
Starting with an initial random network of oscillators with a heterogeneous frequency distribution, its autonomous synchronization ability can be largely improved by appropriately rewiring the links b...
In this paper, a modification of the bisection simplex
method$^{[7]}$ is made for more general purpose use. Organized in an
alternative simpler form, the modified version exploits information of the...